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Finding the Fourth Proportional to 17,825.64, 24,603.29 and 11,776.88

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Solution

The fourth proportional to 17,825.64, 24,603.29 and 11,776.88 is: 16,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.64 : 24,603.29 = 11,776.88 : x
  2. Step 2: Convert to fraction form
    17,825.64/24,603.29 = 11,776.88/x
  3. Step 3: Cross multiply
    17,825.64x = 24,603.29 × 11,776.88
  4. Step 4: Simplify right side
    17,825.64x = 289,750,072.37
  5. Step 5: Solve for x
    x = 289,750,072.37/17,825.64
  6. Step 6: Final answer
    x = 16,254.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.